Question:

How many of the following have five radial nodes? 
5s, 6s, 7s, 6p and 4p 

Updated On: Feb 21, 2024
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Correct Answer: 6

Solution and Explanation

The number of radial nodes for an electron in an orbital is given by n - l - 1, where n is the principal quantum number and l is the azimuthal quantum number.
For an s orbital, l = 0, so the number of radial nodes is n - 1. For a p orbital, l = 1, so the number of radial nodes is n - 2.
Therefore, the number of radial nodes for each of the orbitals are:
5s: 5 - 1 - 0 = 4 radial nodes
6s: 6 - 1 - 0 = 5 radial nodes
7s: 7 - 1 - 0 = 6 radial nodes
6p: 6 - 2 - 1 = 3 radial nodes
4p: 4 - 2 - 1 = 1 radial node
Only the 6s orbital has five radial nodes. Therefore, only one of the given orbitals has five radial nodes.
Answer. 6s
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Concepts Used:

P-Block Elements

  • P block elements are those in which the last electron enters any of the three p-orbitals of their respective shells. Since a p-subshell has three degenerate p-orbitals each of which can accommodate two electrons, therefore in all there are six groups of p-block elements.
  • P block elements are shiny and usually a good conductor of electricity and heat as they have a tendency to lose an electron. You will find some amazing properties of elements in a P-block element like gallium. It’s a metal that can melt in the palm of your hand. Silicon is also one of the most important metalloids of the p-block group as it is an important component of glass.

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